Interpolation for Hardy spaces: Marcinkiewicz decomposition, complex interpolation and holomorphic martingales

DOI10.4064/cm7460-10-2018zbMath1448.30007arXiv1609.07364OpenAlexW2966529887MaRDI QIDQ5237149

Peter Yuditskii, Paul F. X. Müller

Publication date: 16 October 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07364

zbMATH Keywords

Hardy spacesholomorphic martingalesMarcinkiewicz decompositioncomplex and real interpolation spaces

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Interpolation between normed linear spaces (46B70) Moment problems and interpolation problems in the complex plane (30E05) Martingales and classical analysis (60G46) Hardy spaces (30H10)

Cites Work

• Interpolation between \(H^ p\) spaces and non-commutative generalizations. I
• \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
• Notes on interpolation of Hardy spaces
• Interpolation between \(H^ p\) spaces and non-commutative generalizations. II
• Holomorphic martingales and interpolation between Hardy spaces
• The Helson-Szegoe theorem and A//p-functions for Brownian motion and several variables
• Conditioned Brownian motion and multipliers into \(SL^\infty\)
• A decomposition for Hardy martingales II
• Holomorphic Martingales and Interpolation Between Hardy Spaces: The Complex Method
• Intermediate spaces and interpolation, the complex method
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